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Finding the Third Proportional to 316,733,866 and 662,426,848

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Solution

The third proportional to 316,733,866 and 662,426,848 is: 1,385,419,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,733,866 : 662,426,848 = 662,426,848 : x
  2. Step 2: Convert to fraction form
    316,733,866/662,426,848 = 662,426,848/x
  3. Step 3: Cross multiply
    316,733,866x = 662,426,848 × 662,426,848
  4. Step 4: Simplify right side
    316,733,866x = 438,809,328,951,215,104
  5. Step 5: Solve for x
    x = 438,809,328,951,215,104/316,733,866
  6. Step 6: Final answer
    x = 1,385,419,672.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.